# Point charge inside a hollow conductor, does the exterior field changes when the charge moves?

Suppose that I have a hollow conductor with no specific format.

I know that if I put a charge inside it, it will induce charge in the inner surface and on the outer surface a charge with a opposite sign.

And that if the conductor is a sphere or a circle, it doesn't matter where inside the charge is, the field outside will stay the same, because of the spherical shell theorem.

My question is, what about a non-spherical conductor? Will the field outside change when I move the charge inside? Why?

• @HenriqueLengler yes the field will remain $0$ inside but with this argument it's difficult to see how moving a charge elsewhere inside will not affect the charge distribution on the inside and outside of the surfaces of the conductor Commented Apr 17, 2019 at 20:26
• @HenriqueLengler because there is no $\vec E$-field inside a conductor is follows that all parts of a conductor are at the same potential. Commented Apr 17, 2019 at 22:01